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Finding the Fourth Proportional to 7,868.67, 11,804.81 and 2,674.59

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Solution

The fourth proportional to 7,868.67, 11,804.81 and 2,674.59 is: 4,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.67 : 11,804.81 = 2,674.59 : x
  2. Step 2: Convert to fraction form
    7,868.67/11,804.81 = 2,674.59/x
  3. Step 3: Cross multiply
    7,868.67x = 11,804.81 × 2,674.59
  4. Step 4: Simplify right side
    7,868.67x = 31,573,013.40
  5. Step 5: Solve for x
    x = 31,573,013.40/7,868.67
  6. Step 6: Final answer
    x = 4,012.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.